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Reliability Analysis of Multi-State Repairable System with Dynamic Transition Probabilities
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作者 古莹奎 陈佳 +1 位作者 承姿辛 胡康 《Journal of Shanghai Jiaotong university(Science)》 EI 2016年第5期615-620,共6页
Inadequate maintenance decisions lead to incremental overall costs. In order to minimize costs in maintenance of the multi-state repairable system, we model a preventive maintenance(PM) scheme of the multistate repair... Inadequate maintenance decisions lead to incremental overall costs. In order to minimize costs in maintenance of the multi-state repairable system, we model a preventive maintenance(PM) scheme of the multistate repairable system using non-Markov process. The periodically decreasing reliability model of the non-Markov dynamic system with dynamic transition probabilities is established to satisfy the probability change. The diesel engine system is taken as an example to illustrate the model. The reliability of the diesel engine is analyzed and its PM scheme is worked out. RENO software is used to simulate the diesel engine system. The maintenance cost of components and the optimal PM interval data of the system are obtained by using the minimal average cost as the objective function. The adaptability of PM is judged, and the optimal PM scheme is presented. 展开更多
关键词 non-Markov process multi-state repairable system preventive maintenance(PM) minimal average cost dynamic transition probability
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High Toughness Resin Cured by UV Light for Trenchless Pipeline Repair
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作者 MI Rongxi WANG Wanqiong +5 位作者 WANG Fuzhi CHEN Xiaolong LI Weiye HUANG Jinzheng WANG Xiang PENG Shouhai 《Journal of Wuhan University of Technology(Materials Science)》 2026年第1期268-274,共7页
In ultraviolet cured-in-place-pipe(UV-CIPP)pipeline rehabilitation,resin performance critically determines repair effectiveness.Current UV-curable resins exhibit high volatile organic compound(VOC)emissions and inadeq... In ultraviolet cured-in-place-pipe(UV-CIPP)pipeline rehabilitation,resin performance critically determines repair effectiveness.Current UV-curable resins exhibit high volatile organic compound(VOC)emissions and inadequate post-cure toughness,which compromise fatigue resistance during service.To address these issues,we synthesized hydroxyl-terminated polyurethane acrylate prepolymers using diphenylmethane diisocyanate(MDI),polypropylene glycol(PPG),and hydroxyethyl methacrylate(HEMA).Fourier transform infrared spectroscopy(FTIR)confirmed successful prepolymer synthesis.We developed UV-curable resins by incorporating various crosslinking monomers and optimized the formulations through mechanical property analysis.Testing revealed that the polyurethane-acrylic UV-cured resin system combines polyurethane's mechanical excellence with acrylics'high UV-curing activity.The PPG200/MDI/HEMA formulation achieved superior performance,with a tensile strength of 55.31 MPa,an impact toughness of 22.7 kJ/m^(2),and a heat deflection temperature(HDT)of 132℃.The optimized system eliminates volatile components while maintaining high reactivity,addressing critical limitations in trenchless pipeline rehabilitation.The improved mechanical properties meet the operational demands of underground pipes,suggesting practical applicability in trenchless pipeline repair. 展开更多
关键词 trenchless pipeline repair UV-CIPP TOUGHNESS polyurethane acrylate
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Beyond the barrier:Targeting blood-brain interactions for neuroprotection and repair
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作者 Anddre O.Valdivia Caroline Brandt Mark A.Petersen 《Neural Regeneration Research》 2026年第6期2341-2342,共2页
The central nervous system(CNS)does not function in isolation-it engages in continuous molecular dialogue with the vascular and immune systems.Traditionally,the blood-brain barrier(BBB)was portrayed solely as an imper... The central nervous system(CNS)does not function in isolation-it engages in continuous molecular dialogue with the vascular and immune systems.Traditionally,the blood-brain barrier(BBB)was portrayed solely as an impermeable wall,safeguarding the CNS by excluding blood-derived molecules and circulating cells.However,this view has evolved.The BBB is now recognized as a dynamic interface that selectively regulates the exchange of signals,cells. 展开更多
关键词 blood brain barrier dynamic interface repair NEUROPROTECTION vascular system immune system vascular immune central nervous system cns
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Are emerging electroconductive biomaterials for spinal cord injury repair the future?
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作者 Aleksandra Serafin Maurice N.Collins 《Neural Regeneration Research》 2026年第3期1140-1141,共2页
Spinal cord injury(SCI)is a debilitating ailment that leads to the loss of motor and sensory functions,often leaving the patient paralyzed below the injury site(Chen et al.,2013).Globally around 250,000-300,000 people... Spinal cord injury(SCI)is a debilitating ailment that leads to the loss of motor and sensory functions,often leaving the patient paralyzed below the injury site(Chen et al.,2013).Globally around 250,000-300,000 people are diagnosed with SCI annually(Singh et al.,2014),and while this number appears quite low,the effect that an SCI has on the patient’s quality of life is drastic,due to the current difficulties to comprehensively treat this illness.The cost of patient care can also be quite costly,amounting to an estimated$1.69 billion in healthcare costs in the USA alone(Mahabaleshwarkar and Khanna,2014). 展开更多
关键词 spinal cord injury PARALYSIS electroconductive biomaterials healthcare costs sensory functions motor functions repair spinal cord injury sci
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Photobiomodulation repairs the blood-spinal cord barrier in a mouse model of spinal cord injury
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作者 Yangguang Ma Yi Liu +6 位作者 Dongsheng Pan Jiawei Zhang Zhuowen Liang Yi Wang Xueyu Hu Zhe Wang Tan Ding 《Neural Regeneration Research》 2026年第6期2475-2484,共10页
The blood-spinal cord barrier is crucial for preserving homeostasis of the central nervous system.After spinal cord injury,autophagic flux within endothelial cells is disrupted,compromising the integrity of the blood-... The blood-spinal cord barrier is crucial for preserving homeostasis of the central nervous system.After spinal cord injury,autophagic flux within endothelial cells is disrupted,compromising the integrity of the blood-spinal cord barrier.This disruption facilitates extensive infiltration of inflammatory cells,resulting in exacerbated neuroinflammatory responses,neuronal death,and impaired neuronal regeneration.Previous research has demonstrated that photobiomodulation promotes the regeneration of damaged nerves following spinal cord injury by inhibiting the recruitment of inflammatory cells to the injured site and restoring neuronal mitochondrial function.However,the precise mechanisms by which photobiomodulation regulates neuroinflammation remain incompletely elucidated.In this study,we established a mouse model of spinal cord injury and assessed the effects of photobiomodulation treatment.Photobiomodulation effectively cleared damaged mitochondria from endothelial cells in mice,promoting recovery of hindlimb motor function.Using microvascular endothelial bEnd.3 cells subjected to oxygen-glucose deprivation,we found that the effects of photobiomodulation were mediated through activation of the PINK1/Parkin pathway.Additionally,photobiomodulation reduced mitochondrial oxidative stress levels and increased the expression of tight junction proteins within the blood-spinal cord barrier.Our findings suggest that photobiomodulation activates mitochondrial autophagy in endothelial cells through the PINK1/Parkin pathway,thereby promoting repair of the blood-spinal cord barrier following spinal cord injury. 展开更多
关键词 autophagy blood-spinal cord barrier endothelial cell mitochondria neuroinflammatory PHOTOBIOMODULATION PTEN-induced kinase 1 repair spinal cord injury tight junction
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Transplantation of human neural stem cells repairs neural circuits and restores neurological function in the stroke-injured brain
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作者 Peipei Wang Peng Liu +7 位作者 Yingying Ding Guirong Zhang Nan Wang Xiaodong Sun Mingyue Li Mo Li Xinjie Bao Xiaowei Chen 《Neural Regeneration Research》 2026年第3期1162-1171,共10页
Exogenous neural stem cell transplantation has become one of the most promising treatment methods for chronic stroke.Recent studies have shown that most ischemia-reperfusion model rats recover spontaneously after inju... Exogenous neural stem cell transplantation has become one of the most promising treatment methods for chronic stroke.Recent studies have shown that most ischemia-reperfusion model rats recover spontaneously after injury,which limits the ability to observe long-term behavioral recovery.Here,we used a severe stroke rat model with 150 minutes of ischemia,which produced severe behavioral deficiencies that persisted at 12 weeks,to study the therapeutic effect of neural stem cells on neural restoration in chronic stroke.Our study showed that stroke model rats treated with human neural stem cells had long-term sustained recovery of motor function,reduced infarction volume,long-term human neural stem cell survival,and improved local inflammatory environment and angiogenesis.We also demonstrated that transplanted human neural stem cells differentiated into mature neurons in vivo,formed stable functional synaptic connections with host neurons,and exhibited the electrophysiological properties of functional mature neurons,indicating that they replaced the damaged host neurons.The findings showed that human fetal-derived neural stem cells had long-term effects for neurological recovery in a model of severe stroke,which suggests that human neural stem cells-based therapy may be effective for repairing damaged neural circuits in stroke patients. 展开更多
关键词 behavioral recovery circuit repair electrophysiological properties functional integration human neural stem cell transplantation infarction volume STROKE synaptic tracing
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Magnetic resonance imaging tracing of superparamagnetic iron oxide nanoparticle-labeled mesenchymal stromal cells for repairing spinal cord injury
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作者 Xiaoli Mai Yuanyuan Xie +12 位作者 Zhichong Wu Junting Zou Jiacheng Du Yunpeng Shen Hao Liu Bo Chen Mengxia Zhu Jiong Shi Yang Chen Bing Zhang Zezhang Zhu Bin Wang Ning Gu 《Neural Regeneration Research》 2026年第5期2031-2039,共9页
Mesenchymal stromal cell transplantation is an effective and promising approach for treating various systemic and diffuse diseases.However,the biological characteristics of transplanted mesenchymal stromal cells in hu... Mesenchymal stromal cell transplantation is an effective and promising approach for treating various systemic and diffuse diseases.However,the biological characteristics of transplanted mesenchymal stromal cells in humans remain unclear,including cell viability,distribution,migration,and fate.Conventional cell tracing methods cannot be used in the clinic.The use of superparamagnetic iron oxide nanoparticles as contrast agents allows for the observation of transplanted cells using magnetic resonance imaging.In 2016,the National Medical Products Administration of China approved a new superparamagnetic iron oxide nanoparticle,Ruicun,for use as a contrast agent in clinical trials.In the present study,an acute hemi-transection spinal cord injury model was established in beagle dogs.The injury was then treated by transplantation of Ruicun-labeled mesenchymal stromal cells.The results indicated that Ruicunlabeled mesenchymal stromal cells repaired damaged spinal cord fibers and partially restored neurological function in animals with acute spinal cord injury.T2*-weighted imaging revealed low signal areas on both sides of the injured spinal cord.The results of quantitative susceptibility mapping with ultrashort echo time sequences indicated that Ruicun-labeled mesenchymal stromal cells persisted stably within the injured spinal cord for over 4 weeks.These findings suggest that magnetic resonance imaging has the potential to effectively track the migration of Ruicun-labeled mesenchymal stromal cells and assess their ability to repair spinal cord injury. 展开更多
关键词 acute spinal cord injury diffusion tensor imaging dynamic migration mesenchymal stromal cells neural function neuronal regeneration quantitative susceptibility mapping repairability ruicun superparamagnetic iron oxide nanoparticle
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ANALYSIS ON A TYPE OF SERVICING MACHINES MODEL WITH REPAIRABLE SERVICE STATION
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作者 朱翼隽 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1997年第2期153-159,共7页
This paper deals with a type of servicing machines model, which service station has a life time of the kth Er-langian distribution and can be repaired just like a new one. The cyclic time and the inefficiency quantiti... This paper deals with a type of servicing machines model, which service station has a life time of the kth Er-langian distribution and can be repaired just like a new one. The cyclic time and the inefficiency quantities of this system in equilibrium are obtained. 展开更多
关键词 queuing theory DISTRIBUTION Erlangian distribution repairable service station cyclic time inefficiency quantities
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Configuration model of partial repairable spares under batch ordering policy based on inventory state 被引量:21
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作者 Ruan Minzhi Luo Yi Li Hua 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2014年第3期558-567,共10页
Rational planning of spares configuration project is an effective approach to improve equipment availability as well as reduce life cycle cost (LCC). With an analysis of various impacts on support system, the spares... Rational planning of spares configuration project is an effective approach to improve equipment availability as well as reduce life cycle cost (LCC). With an analysis of various impacts on support system, the spares demand rate forecast model is constructed. According to systemic analysis method, spares support effectiveness evaluation indicators system is built, and then, initial spares configuration and optimization method is researched. To the issue of discarding and con-sumption for incomplete repairable items, its expected backorders function is approximated by Laplace demand distribution. Combining the (s-1, s) and (R, Q) inventory policy, the spares resup-ply model is established under the batch ordering policy based on inventory state, and the optimi-zation analysis flow for spares configuration is proposed. Through application on shipborne equipment spares configuration, the given scenarios are analyzed under two constraint targets:one is the support effectiveness, and the other is the spares cost. Analysis reveals that the result is consistent with practical regulation;therefore, the model's correctness, method's validity as well as optimization project's rationality are proved to a certain extent. 展开更多
关键词 Batch ordering Inventory state Operations research Partial repairable spares Support effectiveness evaluation
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Reliability Analysis of a Cold Standby Repairable System with Repairman Extra Work 被引量:14
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作者 ZHANG Xin 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2015年第5期1015-1032,共18页
This paper deals with a cold standby repairman who can do extra work in idle time. The repairable system with two identical units and one authors are devoted to studying the unique existence and exponential stability ... This paper deals with a cold standby repairman who can do extra work in idle time. The repairable system with two identical units and one authors are devoted to studying the unique existence and exponential stability of the system solution. C0-semigroup theory is used to prove the existence of a unique nonnegative time-dependent solution of the system. Then by using the theory of resolvent positive operator, the authors derive that dynamic solution of the system exponentially converges to its steady-state one which is the eigenfunction corresponding to eigenvalue 0 of the system operator. Some reliability indices of the system are discussed with a different method from traditional one. The authors also make a profit analysis to determine the optimal service time outside the system to maximize the system profit. 展开更多
关键词 C0-SEMIGROUP exponential stability repairable system resolvent positive operator.
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Markov repairable systems with stochastic regimes switching 被引量:5
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作者 Liying Wang Lirong Cui Mingli Yu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第5期773-779,共7页
Compared with the classical Markov repairable system, the Markov repairable system with stochastic regimes switching introduced in the paper provides a more realistic description of the practical system. The system ca... Compared with the classical Markov repairable system, the Markov repairable system with stochastic regimes switching introduced in the paper provides a more realistic description of the practical system. The system can be used to model the dynamics of a repairable system whose performance regimes switch according to the external conditions. For example, to satisfy the demand variation that is typical for the power and communication systems and reduce the cost, these systems usually adjust their operating regimes. The transition rate matrices under distinct operating regimes are assumed to be different and the sojourn times in distinct regimes are governed by a finite state Markov chain. By using the theory of Markov process, Ion channel theory, and Laplace transforms, the up time of the system are studied. A numerical example is given to illustrate the obtained results. The effect of sojourn times in distinct regimes on the availability and the up time are also discussed in the numerical example. 展开更多
关键词 Markov repairable system up time stochastic regimes switching system Markov process.
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Availability Analysis of Parallel Repairable System with Omitted Failures 被引量:4
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作者 郑治华 崔利荣 《Journal of Beijing Institute of Technology》 EI CAS 2009年第1期117-120,共4页
The new model for parallel repairable system is introduced, and it is based on the practice problems of maintenance and the idea of Ion-Channel modeling. In the new model, repair times that are sufficiently short (le... The new model for parallel repairable system is introduced, and it is based on the practice problems of maintenance and the idea of Ion-Channel modeling. In the new model, repair times that are sufficiently short (less than some critical value) do not result in system failure, and such a repair interval is omitted from the downtime record. Usually, the underlying process is Markov process if the durations of working and repair time have the negative-exponential distributions, but the new system has not the Markov properties, which is worth to study. The reliability indexes such as instantaneous availability and steady-state availabilities for the new system are given through probability analysis. A numerical example is given to illustrate the results. 展开更多
关键词 parallel repairable system Markov process AVAILABILITY omitted failure
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Reliability Modeling and Evaluation of Complex Multi-State System Based on Bayesian Networks Considering Fuzzy Dynamic of Faults 被引量:5
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作者 Fangjun Zuo Meiwei Jia +2 位作者 Guang Wen Huijie Zhang Pingping Liu 《Computer Modeling in Engineering & Sciences》 SCIE EI 2021年第11期993-1012,共20页
In the traditional reliability evaluation based on the Bayesian method,the failure probability of nodes is usually expressed by the average failure rate within a period of time.Aiming at the shortcomings of traditiona... In the traditional reliability evaluation based on the Bayesian method,the failure probability of nodes is usually expressed by the average failure rate within a period of time.Aiming at the shortcomings of traditional Bayesian network reliability evaluation methods,this paper proposes a Bayesian network reliability evaluation method considering dynamics and fuzziness.The fuzzy theory and the dynamic of component failure probability are introduced to construct the dynamic fuzzy set function.Based on the solving characteristics of the dynamic fuzzy set and Bayesian network,the fuzzy dynamic probability and fuzzy dynamic importance degree of the fault state of leaf nodes are solved.Finally,through the dynamic fuzzy reliability analysis of CNC machine tool hydraulic system balance circuit,the application of this method in system reliability evaluation is verified,which provides support for fault diagnosis of CNC machine tools. 展开更多
关键词 Bayesian network(BN) dynamics FUZZY multi-state
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Importance measure of system reliability upgrade for multi-state consecutive k-out-of-n systems 被引量:3
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作者 HonQvan Dui Shubin si +2 位作者 Zhiqiang Cai Shudong Sun Yingfeng Zhang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2012年第6期936-942,共7页
Importance measures in reliability systems are used to identify weak components in contributing to a proper function of the system.Traditional importance measures mainly concerned the changing value of the system reli... Importance measures in reliability systems are used to identify weak components in contributing to a proper function of the system.Traditional importance measures mainly concerned the changing value of the system reliability caused by the change of the reliability of the component,and seldom considered the joint effect of the probability distribution,improvement rate of the object component.This paper studies the rate of the system reliability upgrading with an improvement of the component reliability for the multi-state consecutive k-out-of-n system.To verify the multi-state consecutive k-out-of-n system reliability upgrading by improving one component based on its improvement rate,an increasing potential importance(IPI)and its physical meaning are described at first.Secondly,the relationship between the IPI and Birnbaum importance measures are discussed.And the IPI for some different improvement actions of the component is further discussed.Thirdly,the characteristics of the IPI are analyzed.Finally,an application to an oil pipeline system is given. 展开更多
关键词 system reliability multi-state consecutive k-out-of-nsystem IMPROVEMENT Birnbaum importance.
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Availability Equivalence Factors of a General Repairable Parallel-Series System 被引量:2
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作者 Abdelfattah Mustafa Ammar M. Sarhan 《Applied Mathematics》 2014年第11期1713-1723,共11页
The availability equivalence factors of a general repairable parallel-series system are discussed in this paper considering the availability function of the system. The system components are assumed to be repairable a... The availability equivalence factors of a general repairable parallel-series system are discussed in this paper considering the availability function of the system. The system components are assumed to be repairable and independent but not identical. The life and repair times of the system components are exponentially distributed with different parameters. Two types of availability equivalent factors of the system are derived. The results derived in this paper generalize those given in the literature. A numerical example is introduced to illustrate how the idea of this work can be applied. 展开更多
关键词 RELIABILITY Engineering DUPLICATION Methods repairable Systems
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Capacitated stochastic coloured Petri net-based approach for computing two-terminal reliability of multi-state network 被引量:3
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作者 Tao Zhang Bo Guo 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2012年第2期304-313,共10页
Classical network reliability problems assume both net- works and components have only binary states, fully working or fully failed states. But many actual networks are multi-state, such as communication networks and ... Classical network reliability problems assume both net- works and components have only binary states, fully working or fully failed states. But many actual networks are multi-state, such as communication networks and transportation networks. The nodes and arcs in the networks may be in intermediate states which are not fully working either fully failed. A simulation ap- proach for computing the two-terminal reliability of a multi-state network is described. Two-terminal reliability is defined as the probability that d units of demand can be supplied from the source to sink nodes under the time threshold T. The capacities of arcs may be in a stochastic state following any discrete or continuous distribution. The transmission time of each arc is also not a fixed number but stochastic according to its current capacity and de- mand. To solve this problem, a capacitated stochastic coloured Petri net is proposed for modelling the system behaviour. Places and transitions respectively stand for the nodes and arcs of a net- work. Capacitated transition and self-modified token colour with route information are defined to describe the multi-state network. By the simulation, the two-terminal reliability and node importance can be estimated and the optimal route whose reliability is highest can also be given. Finally, two examples of different kinds of multi- state networks are given. 展开更多
关键词 two-terminal reliability multi-state network Petri net (PN) simulation node importance.
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Numerical Simulation to Reliability Analysis of Fault-Tolerant Repairable System 被引量:3
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作者 梁晓锋 易宏 +1 位作者 张裕芳 冯正平 《Journal of Shanghai Jiaotong university(Science)》 EI 2010年第5期526-534,共9页
In the traditional method for the reliability analysis of fault-tolerant system,the system structure is described by means of binary decision diagram (BDD) and Markov process,and then the reliability indexes are calcu... In the traditional method for the reliability analysis of fault-tolerant system,the system structure is described by means of binary decision diagram (BDD) and Markov process,and then the reliability indexes are calculated.However,as the size of system augments,the size of state space will increase exponentially.Additionally,Markov approach requires that the failure and repair time of the components obey an exponential distribution.In this study,by combining dynamic fault tree (DFT) and numerical simulation based on the minimal sequence cut set (MSCS),a new method to evaluate reliability of fault-tolerant system with repairable components is proposed.The method presented does not depend on Markov model,so that it can effectively solve the problem of the state-space combination explosion.Moreover,it is suitable for systems whose failure and repair time obey an arbitrary distribution.Therefore,our method is more flexible than the traditional method.At last,an example is given to verify the method. 展开更多
关键词 reliability analysis fault-tolerant repairable system dynamic fault tree (DFT) minimal sequence cut set (MSCS)
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Reliability Analysis of Retracting Actuator with Multi-State Based on Goal Oriented Methodology 被引量:3
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作者 周琳玕 董海平 +2 位作者 伊枭剑 李媛媛 赖岳华 《Journal of Shanghai Jiaotong university(Science)》 EI 2015年第3期307-311,共5页
In order to conduct effective reliability analysis of retracting actuator with multi-state(success state,safety failure state and action failure state), we redefine type-3 operator in goal oriented(GO) method to descr... In order to conduct effective reliability analysis of retracting actuator with multi-state(success state,safety failure state and action failure state), we redefine type-3 operator in goal oriented(GO) method to describe three states of main charge of retracting actuator and improve type-15 operator in GO method to describe the logic relations of multi-state output. The quantitative and qualitative reliability analyses of retracting actuator are made based on GO method in this paper. The system state probability of retracting actuator is obtained through quantitative analysis, and its weakness is found through qualitative analysis. The analysis results show that GO method is effective to improve the reliability of retracting actuator, and this method is also feasible for reliability analysis of other complicated initiating explosive systems. 展开更多
关键词 retracting actuator goal oriented(GO) methodology OPERATOR multi-state reliability analysis
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Reliability Evaluation of Two-Stage Directed Semi-Markov Repairable Network Systems 被引量:2
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作者 Ruiqin Fan Liying Wang Tongliang Li 《Applied Mathematics》 2013年第4期690-693,共4页
A two-stage directed Semi-Markov repairable network system is presented in this paper to model the performance of many transmission systems, such as power or oil transmission network, water or gas supply network, etc.... A two-stage directed Semi-Markov repairable network system is presented in this paper to model the performance of many transmission systems, such as power or oil transmission network, water or gas supply network, etc. The availability of the system is discussed by using Markov renewal theory, Laplace transform and probability analysis methods. A numerical example is given to illustrate the results obtained in the paper. 展开更多
关键词 Directed Network SYSTEM Reliability AVAILABILITY Semi-Markov repairable SYSTEM MARKOV RENEWAL Process
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Integrated importance measure for multi-state coherent systems of k level 被引量:2
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作者 Xibin Zhao Shubin Si +2 位作者 Hongyan Dui Zhiqiang Cai Shudong Sun 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2013年第6期1029-1037,共9页
To verify the effectiveness of the integrated importance measure (IIM) for multi-state coherent systems of k level, the definition and physical meaning of IIM are demonstrated. Then, the improvement potential and Δ... To verify the effectiveness of the integrated importance measure (IIM) for multi-state coherent systems of k level, the definition and physical meaning of IIM are demonstrated. Then, the improvement potential and Δ-importance measures are generalized to multi-state coherent systems based on the system performance level, and the relationships between IIM and traditional importance measures are discussed. The characteristics of IIM are demonstrated in both series and parallel systems. Also, an application to an oil transportation system is given. The comparison results show that: (i) IIM has some useful properties that are not possessed by traditional importance measures; (ii) IIM is effective in evaluating the component role in multi-state systems when the component reliability and the failure rate are simultaneously considered. 展开更多
关键词 multi-state coherent system system performance level integrated importance measure system reliability
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